This paper tackles the problem of formation control for a group of holonomic vehicles using the Bond Graphs formalism. The control law design follows an energy based approach in which the agents are connected each other by means of virtual springs and dampers. The obtained control law is then robustified using a disturbance observer. The properties are studied in the port Hamiltonian (pH) formalism which allows to show hat the resulting closed-loop system is l2 weakly string stable with respect to disturbances. The desired behavior of the closed-loop system is illustrated with some numerical simulation experiments.
Formation Control | Bond Graph | Port Hamiltonian System | Interconnection and Damping assignment | Robust Control